72048513295863104
72,048,513,295,863,104 is an even composite number composed of six prime numbers multiplied together.
72048513295863104 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 72048513295863104:
26 × 7 × 11 × 13 × 1051 × 1070060311
(2 × 2 × 2 × 2 × 2 × 2 × 7 × 11 × 13 × 1051 × 1070060311)See below for interesting mathematical facts about the number 72048513295863104 from the Numbermatics database.
Names of 72048513295863104
- Cardinal: 72048513295863104 can be written as Seventy-two quadrillion, forty-eight trillion, five hundred thirteen billion, two hundred ninety-five million, eight hundred sixty-three thousand, one hundred four.
Scientific notation
- Scientific notation: 7.2048513295863104 × 1016
Factors of 72048513295863104
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 1070061395
Divisors of 72048513295863104
- Number of divisors d(n): 224
-
Complete list of divisors:
1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 64 77 88 91 104 112 143 154 176 182 208 224 286 308 352 364 416 448 572 616 704 728 832 1001 1051 1144 1232 1456 2002 2102 2288 2464 2912 4004 4204 4576 4928 5824 7357 8008 8408 9152 11561 13663 14714 16016 16816 23122 27326 29428 32032 33632 46244 54652 58856 64064 67264 80927 92488 95641 109304 117712 150293 161854 184976 191282 218608 235424 300586 323708 369952 382564 437216 470848 601172 647416 739904 765128 874432 1052051 1202344 1294832 1530256 2104102 2404688 2589664 3060512 4208204 4809376 5179328 6121024 8416408 9618752 16832816 33665632 67331264 1070060311 2140120622 4280241244 7490422177 8560482488 11770663421 13910784043 14980844354 17120964976 23541326842 27821568086 29961688708 34241929952 47082653684 55643136172 59923377416 68483859904 82394643947 94165307368 97375488301 111286272344 119846754832 153018624473 164789287894 188330614736 194750976602 222572544688 239693509664 306037248946 329578575788 376661229472 389501953204 445145089376 479387019328 612074497892 659157151576 753322458944 779003906408 890290178752 1071130371311 1124633386861 1224148995784 1318314303152 1558007812816 2142260742622 2249266773722 2448297991568 2636628606304 3116015625632 4284521485244 4498533547444 4896595983136 5273257212608 6232031251264 7872433708027 8569042970488 8997067094888 9793191966272 12370967255471 14620234029193 15744867416054 17138085940976 17994134189776 24741934510942 29240468058386 31489734832108 34276171881952 35988268379552 49483869021884 58480936116772 62979469664216 68552343763904 71976536759104 86596770788297 98967738043768 102341638204351 116961872233544 125958939328432 160822574321123 173193541576594 197935476087536 204683276408702 233923744467088 251917878656864 321645148642246 346387083153188 395870952175072 409366552817404 467847488934176 503835757313728 643290297284492 692774166306376 791741904350144 818733105634808 935694977868352 1125758020247861 1286580594568984 1385548332612752 1637466211269616 2251516040495722 2573161189137968 2771096665225504 3274932422539232 4503032080991444 5146322378275936 5542193330451008 6549864845078464 9006064161982888 10292644756551872 18012128323965776 36024256647931552 72048513295863104
- Sum of all divisors σ(n): 192144070170458112
- Sum of proper divisors (its aliquot sum) s(n): 120095556874595008
- 72048513295863104 is an abundant number, because the sum of its proper divisors (120095556874595008) is greater than itself. Its abundance is 48047043578731904
Bases of 72048513295863104
- Binary: 111111111111011110111101101110011001100001001101010000002
- Hexadecimal: 0xFFF7BDB9984D40
- Base-36: JPF2E2QVBCW
Squares and roots of 72048513295863104
- 72048513295863104 squared (720485132958631042) is 5190988268144162477063680308514816
- 72048513295863104 cubed (720485132958631043) is 374002987256054077943551002480262993009479091748864
-
The
square root of 72048513295863104 is 268418541.2669234815 -
The
cube root of 72048513295863104 is 416110.1804120265
Scales and comparisons
How big is 72048513295863104?- 72,048,513,295,863,104 seconds is equal to 2,290,919,862 years, 6 weeks, 3 days, 5 hours, 31 minutes, 44 seconds.
-
To count from 1 to 72,048,513,295,863,104 would take you about six billion, eight hundred seventy-two million, seven hundred fifty-nine thousand, five hundred eighty-six years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 72048513295863104 cubic inches would be around 34675.8 feet tall.
Recreational maths with 72048513295863104
- 72048513295863104 backwards is 40136859231584027
- The number of decimal digits it has is: 17
- The sum of 72048513295863104's digits is 68
- More coming soon!
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